A 22 will work fine on Coyotes at the range you mentioned. And as others have said you don't need to head shoot them. Shoot them in or behind the shoulder. They probably won't drop on the spot but they will run off and die within a few minutes. That they die is my only concern with varmit control. It's not like shooting an animal that you want to recover and eat. Get some of the high velocity 22 rounds like the mini mags by CCI.